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Construction of the Bethe State for the Eτ,η(so₃) Elliptic Quantum Group

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dc.contributor.author Manojlović, N.
dc.contributor.author Nagy, Z.
dc.date.accessioned 2019-02-16T08:38:39Z
dc.date.available 2019-02-16T08:38:39Z
dc.date.issued 2007
dc.identifier.citation Construction of the Bethe State for the Eτ,η(so₃) Elliptic Quantum Group / N. Manojlović, Z. Nagy // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 13 назв. — англ. uk_UA
dc.identifier.issn 1815-0659
dc.identifier.other 2000 Mathematics Subject Classification: 82B23; 81R12; 81R50
dc.identifier.uri http://dspace.nbuv.gov.ua/handle/123456789/147812
dc.description.abstract Elliptic quantum groups can be associated to solutions of the star-triangle relation of statistical mechanics. In this paper, we consider the particular case of the Eτ,η(so₃) elliptic quantum group. In the context of algebraic Bethe ansatz, we construct the corresponding Bethe creation operator for the transfer matrix defined in an arbitrary representation of Eτ,η(so₃). uk_UA
dc.description.sponsorship This paper is a contribution to the Proceedings of the Workshop on Geometric Aspects of Integrable Systems (July 17–19, 2006, University of Coimbra, Portugal). We wish to thank Petr Kulish for illuminating discussions. We are also grateful to the organizers of the GEOMIS workshop in Coimbra for letting us present these results. This work was supported by the project POCI/MAT/58452/2004, in addition to that Z. Nagy benefited from the FCT grant SFRH/BPD/25310/2005. The manuscript was finished in the hospitable environment of the Solvay Institute and ULB, Brussels. uk_UA
dc.language.iso en uk_UA
dc.publisher Інститут математики НАН України uk_UA
dc.relation.ispartof Symmetry, Integrability and Geometry: Methods and Applications
dc.title Construction of the Bethe State for the Eτ,η(so₃) Elliptic Quantum Group uk_UA
dc.type Article uk_UA
dc.status published earlier uk_UA


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